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Simplifying 43 = -3w + -6w + -29 Reorder the terms: 43 = -29 + -3w + -6w Combine like terms: -3w + -6w = -9w 43 = -29 + -9w Solving 43 = -29 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. 43 + 9w = -29 + -9w + 9w Combine like terms: -9w + 9w = 0 43 + 9w = -29 + 0 43 + 9w = -29 Add '-43' to each side of the equation. 43 + -43 + 9w = -29 + -43 Combine like terms: 43 + -43 = 0 0 + 9w = -29 + -43 9w = -29 + -43 Combine like terms: -29 + -43 = -72 9w = -72 Divide each side by '9'. w = -8 Simplifying w = -8
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